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Finding the Fourth Proportional to 103.19, 143.08 and 97.73

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Solution

The fourth proportional to 103.19, 143.08 and 97.73 is: 135.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.19 : 143.08 = 97.73 : x
  2. Step 2: Convert to fraction form
    103.19/143.08 = 97.73/x
  3. Step 3: Cross multiply
    103.19x = 143.08 × 97.73
  4. Step 4: Simplify right side
    103.19x = 13,983.21
  5. Step 5: Solve for x
    x = 13,983.21/103.19
  6. Step 6: Final answer
    x = 135.51

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.